Explore topic-wise MCQs in Mathematics.

This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

For the given equation (x+2) (x+4) = x2 + 6x + 8, how many values of x satisfies this equation?

A. Two values of x
B. One value of x
C. All value of x
D. No value of x
Answer» D. No value of x
Discussion
2.

Identify the type of the equation (x+1)2.

A. Linear equation
B. Cubic equation
C. Identity
D. Imaginary
Answer» D. Imaginary
Discussion
3.

( int frac{(x^2+x+1)dx}{(x+2)(x^2+1)} ) equals ______

A. ( frac{3}{5}log|x+2| + frac{1}{5}log|x^2+1|+ frac{1}{5} tan^{-1}x+5C )
B. ( frac{3}{5}log|x+2| + frac{1}{5}log|x^2+1|+ frac{1}{6} tan^{-1}x+C )
C. ( frac{3}{5}log|x+2| + frac{1}{6}log|x^2+1|+ frac{1}{6} tan^{-1}x+C )
D. ( frac{3}{5}log|x+2| + frac{1}{5}log|x^2+1|+ frac{1}{5} tan^{-1}x+C )
Answer» E.
Discussion
4.

Which form of rational function ( frac{px+q}{(x-a)^2} ) represents?

A. ( frac{A}{(x-a)} + frac{B}{(x-a)^2} )
B. ( frac{A}{(x-a)^2} + frac{B}{(x-a)} )
C. ( frac{A}{(x-a)} frac{B}{(x-a)^2} )
D. ( frac{A}{(x-a)} frac{B}{(x-a)} )
Answer» B. ( frac{A}{(x-a)^2} + frac{B}{(x-a)} )
Discussion
5.

( int frac{dx}{(x^2-9)} ) equals ______

A. ( frac{1}{6} log frac{x+3}{x-3} ) + C
B. ( frac{1}{6} log frac{x-3}{x+3} ) + C
C. ( frac{1}{5} log frac{x+3}{x-3} ) + C
D. ( frac{1}{3} log frac{x+3}{x-3} ) + C
Answer» C. ( frac{1}{5} log frac{x+3}{x-3} ) + C
Discussion
6.

( int frac{dx}{x(x^2+1)} ) equals ______

A. (log|x| frac{1}{2} log(x^2+1) ) + C
B. (log|x| + frac{1}{2} log(x^2+1) ) + C
C. (log|x| + frac{1}{2} log(x^2+1) ) + C
D. ( frac{1}{2} log|x| + log(x^2+1) ) + C
Answer» B. (log|x| + frac{1}{2} log(x^2+1) ) + C
Discussion
7.

An improper integration fraction is reduced to proper fraction by _____

A. multiplication
B. division
C. addition
D. subtraction
Answer» C. addition
Discussion
8.

Find ( int frac{dx}{(x+1)(x+2)} ).

A. (Log left| frac{x+1}{x+2} right|+ C )
B. (Log left| frac{x-1}{x+2} right|+ C )
C. (Log left| frac{x+2}{x+1} right|+ C )
D. (Log left| frac{x+1}{x-2} right|+ C )
Answer» B. (Log left| frac{x-1}{x+2} right|+ C )
Discussion
9.

Find ( int frac{x^2+1}{x^2-5x+6} dx ).

A. x 5log|x-2| + 10log|x-3|+C
B. x 3log|x-2| + 5log|x-3|+C
C. x 10log|x-2| + 5log|x-3|+C
D. x 5log|x-5| + 10log|x-10|+C
Answer» B. x 3log|x-2| + 5log|x-3|+C
Discussion
10.

What form of rational function ( frac{px+q}{(x-a)(x-b)} ), a b represents?

A. ( frac{A}{(x-a)} )
B. ( frac{B}{(x-b)} )
C. ( frac{A+B}{(x-a)(x-b)} )
D. ( frac{A}{(x-a)} + frac{B}{(x-b)} )
Answer» E.
Discussion